In this paper, based on Kelvin and Linear Standard Solid models, dynamic response and the buckling load of a viscoelastic beam under  lateral and axial loads have been determined. The governing equations have been extracted using Euler  and Timoshenko theories and their analytical solutions have been obtained by using the eigenfunctions expansion method. Buckling load have been calculated by us...

In this paper, natural frequencies and dynamic response of thick beams made of saturated porous materials resting on viscoelastic foundation are investigated for the first time. The beam is modeled using higher-order beam theory. Kelvin-voight model is used to model the viscoelastic foundation. Distribution of porosity along the thickness is considered in two different patterns, which are symme...

In this paper, the dynamic response of a viscoelastic beam subjected to a moving distributed load has been studied. The viscoelastic properties of the beam have been considered as linear standard model in shear and incompressible in bulk. The stress components have been separated to the shear and dilatation components and as a result the governing equations in viscoelastic form has been obtaine...

In this paper, the dynamic response of an axially moving viscoelastic beam with simple supports is calculated analytically based on Timoshenko theory. The beam material property is separated to shear and bulk effects. It is assumed that the beam is incompressible in bulk and viscoelastic in shear, which obeys the standard linear model with the material time derivative. The axial speed is charac...

background: laser-tissue interaction on low-level laser therapy (lllt) has widespread medical applications (e.g., improved wound healing). the tensile strength of radiated tissue by lllt is known to be increased mainly because of cross collagen bands developed after radiation. objective: in this work, we studied the instantaneous effect of radiation of polarized laser beam on the viscoelastic t...

Background: Laser-tissue interaction on low-level laser therapy (LLLT) has widespread medical applications (e.g., improved wound healing). The tensile strength of radiated tissue by LLLT is known to be increased mainly because of cross collagen bands developed after radiation.Objective: In this work, we studied the instantaneous effect of radiation of polarized laser beam on the viscoelastic ti...

This paper describes the development of an efficient finite element model for dynamic analysis of laminated beams treated by a constrained viscoelastic layer. The finite element model is designed so as to represent the viscoelastic core shear accurately. An offset-beam element which takes shear deformation into account and is specially suited for modeling such laminated beams is developed. The ...

We present a mathematical framework to provide general well-posedness and approximation results for a laminated curved beam. The layered beam consists of an elastic core layer, symmentric viscoelastic damping layers, symmetric constraining layers and bonded piezoceramic patch pairs on the outer surfaces. The model includes unbounded inputs from the piezoceramic patches, hysteresis and shear in ...

This paper presents chaotic behavior of a nonlinear viscoelastic beam under a moving mass interaction. Considering the stretching effect which is modeled by the Lagrangian strain theory and using linear Kelvin-Voigt model to constitute viscoelastic behavior of the beam, the governing equations of transverse vibration is derived. Then Galerkin truncation is applied to find the ordinary different...

iii Abstract The goal of this research is to provide a framework for vibro-acoustical analysis and design of a multiple-layer constrained damping structure. The existing research on damping and viscoelastic damping mechanism is limited to the following four mainstream approaches: modeling techniques of damping treatments/materials; control through the electrical-mechanical effect using the piez...